82128688992 has 288 divisors, whose sum is σ = 277905019392. Its totient is φ = 23372043264.

The previous prime is 82128688969. The next prime is 82128688997. The reversal of 82128688992 is 29988682128.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82128688997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14312748 + ... + 14318484.

It is an arithmetic number, because the mean of its divisors is an integer number (964947984).

Almost surely, 2^82128688992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82128688992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138952509696).

82128688992 is an abundant number, since it is smaller than the sum of its proper divisors (195776330400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82128688992 is a wasteful number, since it uses less digits than its factorization.

82128688992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6032 (or 6012 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 63.

The spelling of 82128688992 in words is "eighty-two billion, one hundred twenty-eight million, six hundred eighty-eight thousand, nine hundred ninety-two".